On The Annihilators of Derived Functors of Local Cohomology Modules and Finiteness Dimension

DOI10.1080/00927872.2011.629264zbMath1264.13018OpenAlexW2078139024WikidataQ58841469 ScholiaQ58841469MaRDI QIDQ4912727

Kazem Khashyarmanesh, Fahimeh Khosh-Ahang Ghasr

Publication date: 5 April 2013

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2011.629264

zbMATH Keywords

local cohomology moduletorsion functorfilter regular sequencesextension functorgeneralized local cohomology moduleannihilator of local cohomologyfiniteness dimension of local cohomology modules

Mathematics Subject Classification ID

Local cohomology and commutative rings (13D45) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Torsion theory for commutative rings (13D30) Torsion modules and ideals in commutative rings (13C12)

Cites Work

• Über die Annulatoren lokaler Kohomologiegruppen
• On annihilators and associated primes of local cohomology modules
• Uniform annihilators of local cohomology of excellent rings
• A new depth and the annihilation of local cohomology modules
• On the Annihilators of Local Cohomology Modules
• Verallgemeinerte COHEN-MACAULAY-Moduln
• Faltings’ theorem for the annihilation of local cohomology modules over a Gorenstein ring
• A new version of Local-Global Principle for annihilations of local cohomology modules
• Uniform annihilation of local cohomology and of Koszul homology
• When Are the Local Cohomology Modules Finitely Generated?
• Uniform Annihilation of Local Cohomology Modules Over a Gorenstein Ring

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